The AKNS equation is an important soliton equation and many methods for soliton solutions are verified by it.
AKNS方程是重要的孤子方程，寻找孤立子解的方法往往在该方程上加以验证。
Among the various approaches, the Darboux transformation is a very powerful tool for constructing soliton solutions of the NLEEs from a trivial seed.
其中达布变换是一种十分有效的方法，它能够从孤子方程的一个平凡解出发求出一系列孤子解。
Using the extension homogeneous balance method, we have obtain some new special types of soliton solutions of the (2 + 1) - dimensional breaking soliton equation.
使用齐次平衡方法，得到了（2+1）维破裂孤子方程的一些新多孤子解。
This extended procedure skips the process of equation splitting and bilinearization so as to avoid the possibility of introducing additional limitation on the structure of the soliton solutions.
更多。同时在求解过程中略去了将齐次方程分块和双线性化的过程，这样就避免了不适当的分块可能产生的对于模型孤子解的结构的限制。
In this paper we improve some key steps in the homogeneous balance method, then by using this method we are able to obtain multiple soliton solutions of some nonlinear partial differential equations.
对齐次平衡法的一些关键步骤进行拓宽，获得了一系列非线性方程的多孤子解，使得对非线性方程的多孤子解的求解方法更加直接，且许多步骤可以利用计算机完成。
Thus it can be seen that there exist the soliton solutions of the KP equation running to left and right as well as static and the interaction solutions between left running and right running solitons.
结果表明，KP方程允许存在左行孤子、右行孤子、静态孤子解和左、右行孤子的相互作用解。
And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.
用这种方法得到的新的类周期解在极限条件下可以退化为类孤立波解或类冲击波解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
应用推荐